Sentence examples for using a fourth order from inspiring English sources

Numerical simultaneous integration of the model equations was done using a fourth order Runga-Kutta method.

The first order differential equations obtained for each control volume are solved by use of a fully explicit scheme using a fourth order Runge Kutta algorithm.

The heat transfer equations involving radiative, infra-red and conductive heat are solved simultaneously using a fourth order Runge-Kutta Method.

The positions of tracer particles as well as the stretching of a fluid element associated with each tracer particle were tracked using a fourth order Runge-Kutta integration scheme with adaptive time stepping.

The performance of the proposed method has been tested against periodic solutions of three oscillators, namely Ueda's, Duffing-Holmes' and Van der Pol's oscillators, obtained using a fourth order Runge-Kutta method with a sufficiently small time step.

Using a fourth order accurate kernel for interpolation between the particles and the mesh, the results of the hybrid vortex method and of the pseudo-spectral method agree well in both flow cases.

The particles' location at each time was determined using a fourth-order Runge-Kutta method.

The droplet motion equation, accounting for droplet evaporation due to combustion, was solved using a fourth-order, Runge-Kutta method.

Flow and dispersion about a cubical building were computed using a fourth-order accurate finite elements scheme.

We solve the Maxwell equations, with an interface between two media, using a fourth-order accurate algorithm.

The excitation voltage control is obtained by means of adaptive back-stepping method and Lyapunov stability theory using a fourth-order two-input nonlinear model.